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Finding the Third Proportional to 1,854,838,327.50 and 4,000,233,775.50

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Solution

The third proportional to 1,854,838,327.50 and 4,000,233,775.50 is: 8,627,097,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,838,327.50 : 4,000,233,775.50 = 4,000,233,775.50 : x
  2. Step 2: Convert to fraction form
    1,854,838,327.50/4,000,233,775.50 = 4,000,233,775.50/x
  3. Step 3: Cross multiply
    1,854,838,327.50x = 4,000,233,775.50 × 4,000,233,775.50
  4. Step 4: Simplify right side
    1,854,838,327.50x = 16,001,870,258,650,984,448
  5. Step 5: Solve for x
    x = 16,001,870,258,650,984,448/1,854,838,327.50
  6. Step 6: Final answer
    x = 8,627,097,047.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.